Multi-agent reinforcement learning: A selective overview of theories and algorithms

K Zhang, Z Yang, T Başar - Handbook of reinforcement learning and …, 2021 - Springer
Recent years have witnessed significant advances in reinforcement learning (RL), which
has registered tremendous success in solving various sequential decision-making problems …

A review of charge scheduling of electric vehicles in smart grid

JC Mukherjee, A Gupta - IEEE Systems Journal, 2014 - ieeexplore.ieee.org
Electric vehicles (EVs) are being introduced by different manufacturers as an environment-
friendly alternative to vehicles with internal combustion engines, with several benefits. The …

[图书][B] Probabilistic theory of mean field games with applications I-II

R Carmona, F Delarue - 2018 - Springer
The lion's share of this chapter is devoted to the construction of equilibria for mean field
games with a common noise. We develop a general two-step strategy for the search of weak …

Decentralized charging control of large populations of plug-in electric vehicles

Z Ma, DS Callaway, IA Hiskens - IEEE Transactions on control …, 2011 - ieeexplore.ieee.org
This paper develops a strategy to coordinate the charging of autonomous plug-in electric
vehicles (PEVs) using concepts from non-cooperative games. The foundation of the paper is …

Probabilistic analysis of mean-field games

R Carmona, F Delarue - SIAM Journal on Control and Optimization, 2013 - SIAM
The purpose of this paper is to provide a complete probabilistic analysis of a large class of
stochastic differential games with mean field interactions. We implement the Mean-Field …

Mean field games

PE Caines - Encyclopedia of systems and control, 2021 - Springer
The notion of the infinite population limit of large population games where agents are
realized by controlled stochastic dynamical systems is introduced. The theory of infinite …

Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle

M Huang, RP Malhamé, PE Caines - 2006 - projecteuclid.org
We consider stochastic dynamic games in large population conditions where multiclass
agents are weakly coupled via their individual dynamics and costs. We approach this large …

Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized -Nash Equilibria

M Huang, PE Caines… - IEEE transactions on …, 2007 - ieeexplore.ieee.org
We consider linear quadratic Gaussian (LQG) games in large population systems where the
agents evolve according to nonuniform dynamics and are coupled via their individual costs …

Linear-quadratic mean field games

A Bensoussan, KCJ Sung, SCP Yam… - Journal of Optimization …, 2016 - Springer
We provide a comprehensive study of a general class of linear-quadratic mean field games.
We adopt the adjoint equation approach to investigate the unique existence of their …

[图书][B] Lectures on BSDEs, stochastic control, and stochastic differential games with financial applications

R Carmona - 2016 - SIAM
This book grew out of the lecture notes I prepared for a graduate class I taught at Princeton
University in 2011–12, and again in 2012–13. My goal was to introduce the students to …